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Finding the Third Proportional to 163,928.75 and 221,466

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Solution

The third proportional to 163,928.75 and 221,466 is: 299,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,928.75 : 221,466 = 221,466 : x
  2. Step 2: Convert to fraction form
    163,928.75/221,466 = 221,466/x
  3. Step 3: Cross multiply
    163,928.75x = 221,466 × 221,466
  4. Step 4: Simplify right side
    163,928.75x = 49,047,189,156
  5. Step 5: Solve for x
    x = 49,047,189,156/163,928.75
  6. Step 6: Final answer
    x = 299,198.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.